Assuming that the frame's feed ramp is adequate, it boils down to which manufacturer made the slide. In my experience, Colt slides will work for both 9mm and 38 Super, but not 40/10mm. Springfield slides work for the exact caliber specified. Kimber slides work for 9mm, 38 Super, 40 S&W, and 10mm. That may have changed over time as manufacturers are constantly changing their specs.